{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2016:HDXYHO3WD7QD6QUGBCG75DGKBE","merge_version":"pith-open-graph-merge-v1","event_count":2,"valid_event_count":2,"invalid_event_count":0,"equivocation_count":0,"current":{"canonical_record":{"metadata":{"abstract_canon_sha256":"d0bfbb79ec941a6a639e6c4a9b9dc4a22a630830216e0fbfac0c64b30d07cb63","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AP","submitted_at":"2016-02-01T14:01:21Z","title_canon_sha256":"55d0366fccdba0e6af3f2c1c0b6d0420de5be2940db56c374f32194d665045a3"},"schema_version":"1.0","source":{"id":"1602.00530","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1602.00530","created_at":"2026-05-18T01:21:35Z"},{"alias_kind":"arxiv_version","alias_value":"1602.00530v1","created_at":"2026-05-18T01:21:35Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1602.00530","created_at":"2026-05-18T01:21:35Z"},{"alias_kind":"pith_short_12","alias_value":"HDXYHO3WD7QD","created_at":"2026-05-18T12:30:19Z"},{"alias_kind":"pith_short_16","alias_value":"HDXYHO3WD7QD6QUG","created_at":"2026-05-18T12:30:19Z"},{"alias_kind":"pith_short_8","alias_value":"HDXYHO3W","created_at":"2026-05-18T12:30:19Z"}],"graph_snapshots":[{"event_id":"sha256:05be4b1bbcd3214049ea3c039a163ebc5202adde75f0993969451be4942ced28","target":"graph","created_at":"2026-05-18T01:21:35Z","signer":{"key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signer_id":"pith.science","signer_type":"pith_registry"},"payload":{"graph_snapshot":{"author_claims":{"count":0,"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57","strong_count":0},"builder_version":"pith-number-builder-2026-05-17-v1","claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"formal_canon":{"evidence_count":0,"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"paper":{"abstract_excerpt":"We investigate asymptotic behaviors of a metric viscosity solution of a Hamilton-Jacobi equation defined on a general metric space in Gangbo-\\'{S}wi\\c{e}ch sense. Our results include general stability and large time behavior of the solution.","authors_text":"Atsushi Nakayasu, Tokinaga Namba","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AP","submitted_at":"2016-02-01T14:01:21Z","title":"Stability properties and large time behavior of viscosity solutions of Hamilton-Jacobi equations on metric spaces"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1602.00530","kind":"arxiv","version":1},"verdict":{"created_at":null,"id":null,"model_set":{},"one_line_summary":"","pipeline_version":null,"pith_extraction_headline":"","strongest_claim":"","weakest_assumption":""}},"verdict_id":null}}],"author_attestations":[],"timestamp_anchors":[],"storage_attestations":[],"citation_signatures":[],"replication_records":[],"corrections":[],"mirror_hints":[],"record_created":{"event_id":"sha256:0178f32d47ec8e2117fcfa6d2ca36e41d91408c34efd35338708674f1372af06","target":"record","created_at":"2026-05-18T01:21:35Z","signer":{"key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signer_id":"pith.science","signer_type":"pith_registry"},"payload":{"attestation_state":"computed","canonical_record":{"metadata":{"abstract_canon_sha256":"d0bfbb79ec941a6a639e6c4a9b9dc4a22a630830216e0fbfac0c64b30d07cb63","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AP","submitted_at":"2016-02-01T14:01:21Z","title_canon_sha256":"55d0366fccdba0e6af3f2c1c0b6d0420de5be2940db56c374f32194d665045a3"},"schema_version":"1.0","source":{"id":"1602.00530","kind":"arxiv","version":1}},"canonical_sha256":"38ef83bb761fe03f4286088dfe8cca09253f2978d07040ce58ddf339a437102f","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"38ef83bb761fe03f4286088dfe8cca09253f2978d07040ce58ddf339a437102f","first_computed_at":"2026-05-18T01:21:35.164975Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T01:21:35.164975Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"W88Z/bTV24BIUqWTfRiDgMamPo1XchMKtNgLRvrmxLPjHyZp+IKRZx7/iul9Pv21hIYQYucsNEswczGVaMMnCg==","signature_status":"signed_v1","signed_at":"2026-05-18T01:21:35.165675Z","signed_message":"canonical_sha256_bytes"},"source_id":"1602.00530","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:0178f32d47ec8e2117fcfa6d2ca36e41d91408c34efd35338708674f1372af06","sha256:05be4b1bbcd3214049ea3c039a163ebc5202adde75f0993969451be4942ced28"],"state_sha256":"0b4878e0ecac5f00cabee4fbc930082e8616b7fc5936f44f39f4fd2d8769bc6e"}